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Zustand: Very Good. Ships from the UK. Former library book; may include library markings. Used book that is in excellent condition. May show signs of wear or have minor defects. Softcover reprint of the original 2nd ed. 1989. Bestandsnummer des Verkäufers GRP96905195
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Zustand: Good. Former library book; may include library markings. Used book that is in clean, average condition without any missing pages. Softcover reprint of the original 2nd ed. 1989. Bestandsnummer des Verkäufers GRP82607219
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Paperback. Zustand: Good. No Jacket. Pages can have notes/highlighting. Spine may show signs of wear. ~ ThriftBooks: Read More, Spend Less 1.4. Bestandsnummer des Verkäufers G0817634231I3N00
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Kartoniert / Broschiert. Zustand: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. to the Second Edition.- to the First Edition.- 1. Problems of Queueing Theory under the Simplest Assumptions.- 1.1. Simple Streams.- 1.1.1. Historical Remarks.- 1.1.2. The Notion of a Stream of Homogeneous Events.- 1.1.3. Qualitative Assumptions and Their A. Bestandsnummer des Verkäufers 5975396
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Taschenbuch. Zustand: Neu. Neuware -to the Second Edition.- to the First Edition.- 1. Problems of Queueing Theory under the Simplest Assumptions.- 1.1. Simple Streams.- 1.1.1. Historical Remarks.- 1.1.2. The Notion of a Stream of Homogeneous Events.- 1.1.3. Qualitative Assumptions and Their Analysis.- 1.1.4. Derivation of Equations for Simple Streams.- 1.1.5. Solution of the Equations.- 1.1.6. Derivation of the Additional Assumption from the Other Three Assumptions.- 1.1.7. Distribution of Times of Events of a Stream.- 1.1.8. The Intensity and Parameter of a Stream.- 1.2. Service with Waiting.- 1.2.1. Statement of the Problem.- 1.2.2. The Servicing Process as a Markov Process.- 1.2.3. Construction of Equations.- 1.2.4. Determination of the Stationary Solution.- 1.2.5. Some Preliminary Results.- 1.2.6. The Distribution Function of the Waiting Time.- 1.2.7. The Mean Waiting Time.- 1.2.8. Example.- 1.3. Birth and Death Processes.- 1.3.1. Definition.- 1.3.2. Differential Equations for the Process.- 1.3.3. Proof of Feller¿s Theorem.- 1.3.4. Passive Redundancy without Renewal.- 1.3.5. Active Redundancy without Renewal.- 1.3.6. Existence of Solutions for Birth and Death Equations.- 1.3.7. Backward Equations.- 1.4. Applications of Birth and Death Processes in Queueing Theory.- 1.4.1. Systems with Losses.- 1.4.2. Systems with Limited Waiting Facilities.- 1.4.3. Distribution of the Waiting Time until the Commencement of Service.- 1.4.4. Team Servicing of Machines.- 1.4.5. A Numerical Example.- 1.4.6. Duplicated Systems with Renewal (Passive Redundancy).- 1.4.7. Duplicated Systems with Renewal (Active Redundancy).- 1.4.8. Duplicated Systems with Renewal (Partially Active Redundancy).- 1.5. Priority Service.- 1.5.1. Statement of the Problem.- 1.5.2. Problems with Losses.- 1.5.3. Equations for pij(t).- 1.5.4. A Particular Case.- 1.5.5. The Possibility of Failure of the Servers.- 1.6. General Principles of Constructing Markov Models of Systems.- 1.6.1. Homogeneous Markov Processes.- 1.6.2. Characteristics of Functionals.- 1.6.3. A General Scheme for Constructing Markov Models of Service Systems.- 1.6.4. The HyperErlang Approximation.- 1.7. Systems with Limited Waiting Time.- 1.7.1. Statement of the Problem.- 1.7.2. The Stochastic Process Describing the State of a System for = const.- 1.7.3. System of Integro-differential Equations for the Problem.- 1.7.4. Various Characteristics of Service.- 1.7.5. Distribution of the Queue Length.- 1.7.6. Waiting Time Bounded by a Random Variable.- 1.8. Systems with Bounded Holding Times.- 1.8.1. Statement of the Problem and Assumptions.- 1.8.2. A Stochastic Process Describing the Service.- 1.8.3. Stationary Distributions.- 1.8.4. Holding Time in a System Bounded by a Random Variable.- 2. The Study of the Incoming Customer Stream.- 2.1. Some Examples.- 2.1.1. The Notion of the Incoming Stream.- 2.1.2. Feed of Components from a Hopper.- 2.1.3. A Regular Stream of Customers.- 2.1.4. Streams of Customers Served by Successively Positioned Servers.- 2.1.5. A Wider Approach to the Notion of the Incoming Stream.- 2.1.6. Marked Streams.- 2.2. A Simple Nonstationary Stream.- 2.2.1. Definition of a Simple Nonstationary Stream.- 2.2.2. Equations for the Probabilities pk(t0, t).- 2.2.3. Solution of the System (7).- 2.2.4. Instantaneous Intensity of a Stream.- 2.2.5. Examples.- 2.2.6. The General Form of Poisson Streams without Aftereffects.- 2.2.7. A System with Infinitely Many Servers.- 2.3. A Property of Stationary Streams.- 2.3.1. Existence of the Parameter.- 2.3.2. A Lemma.- 2.3.3. Proof of Khinchin¿s Theorem.- 2.3.4. An Example of a Stationary Stream with Aftereffects.- 2.4. General Form of Stationary Streams without Aftereffects.- 2.4.1. Statement of the Problem.- 2.4.2. The Existence of the Limits $$mathop {lim }limits_{t o 0} frac{{{pi _k}(t)}}{t}$$.- 2.4.3. Equations for the General Stationary Stream without Aftereffects.- 2.4.4. Solution of Systems (3) and (4).- 2.4.5. A Special Case.- 2.4.6. The Generating Function of the Stream.- 2.4.7. Concluding Remarks.- 2.5. The Palm-Khinchin Functions.- 2.5.1. Definition of the Palm-Khinchin Functions.- 2.5.2. Proof of the Existence of the Palm-Khinchin Functions.- 2.5.3. The Palm-Khinchin Formulas.- 2.5.4. Intensity of a Stationary Stream.- 2.5.5. Korolyuk¿s Theorem.- 2.5.6. The Case of Nonorderly Streams.- 2.6. Characteristics of Stationary Streams and the Lebesgue Integral.- 2.6.1. A General Definition of Mathematical Expectation.- 2.6.2. A Refinement of the Notion of Orderliness.- 2.6.3. Existence of the Parameter of a Stream.- 2.6.4. Dobrushin¿s Theorem.- 2.6.5. The Existence of the Palm-Khinchin Function.- 2.6.6. The k-Intensity of a Stream.- 2.7. Basic Renewal Theory.- 2.7.1. Definition of Renewal Processes (Renewal Streams).- 2.7.2. A Property of Renewal Streams.- 2.7.3. Relation to the Palm-Khinchin Functions.- 2.7.4. Definition of the Palm-Khinchin Functions for Stationary Renewal Streams.- 2.7.5. Basic Formulas for Renewal Processes.- 2.7.6. Statements of Some Theorems on Stationary Renewal Processes.- 2.8. Limit Theorems for Compound Streams.- 2.8.1. Statement of the Problem.- 2.8.2. Definitions and Notation.- 2.8.3. Statement of the Basic Result and a Proof of Necessity.- 2.8.4. Proof of Sufficiency.- 2.8.5. The Case of Stationary and Orderly Component Streams.- 2.8.6. Additional Remarks.- 2.9. Direct Probabilistic Methods.- 2.10. Limit Theorem for Thinning Streams.- 2.10.1. Statement of the Problem.- 2.10.2. Laplace Transform of Transformed Streams.- 2.10.3. Some Properties of the T-Operation.- 2.10.4. The Tq-Transformation for a Simple Stream.- 2.10.5. R¿i¿s Limit Theorem.- 2.11. Additional Limit Theorems for Thinning Streams.- 2.11.1. Belyaev¿s Theorem and its Generalizations.- 2.11.2. Rare Events in the Scheme of a Regenerative Process.- 3. Some Classes of Stochastic Processes.- 3.1. Kendall¿s Method: Semi-Markov Processes.- 3.1.1. Semi-Markov Processes and Embedded Markov Chains.- 3.1.2. Some Results from the Theory of Markov Chains.- 3. Bestandsnummer des Verkäufers 9780817634230
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Anbieter: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Deutschland
Taschenbuch. Zustand: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -to the Second Edition.- to the First Edition.- 1. Problems of Queueing Theory under the Simplest Assumptions.- 1.1. Simple Streams.- 1.1.1. Historical Remarks.- 1.1.2. The Notion of a Stream of Homogeneous Events.- 1.1.3. Qualitative Assumptions and Their Analysis.- 1.1.4. Derivation of Equations for Simple Streams.- 1.1.5. Solution of the Equations.- 1.1.6. Derivation of the Additional Assumption from the Other Three Assumptions.- 1.1.7. Distribution of Times of Events of a Stream.- 1.1.8. The Intensity and Parameter of a Stream.- 1.2. Service with Waiting.- 1.2.1. Statement of the Problem.- 1.2.2. The Servicing Process as a Markov Process.- 1.2.3. Construction of Equations.- 1.2.4. Determination of the Stationary Solution.- 1.2.5. Some Preliminary Results.- 1.2.6. The Distribution Function of the Waiting Time.- 1.2.7. The Mean Waiting Time.- 1.2.8. Example.- 1.3. Birth and Death Processes.- 1.3.1. Definition.- 1.3.2. Differential Equations for the Process.- 1.3.3. Proof of Feller¿s Theorem.- 1.3.4. Passive Redundancy without Renewal.- 1.3.5. Active Redundancy without Renewal.- 1.3.6. Existence of Solutions for Birth and Death Equations.- 1.3.7. Backward Equations.- 1.4. Applications of Birth and Death Processes in Queueing Theory.- 1.4.1. Systems with Losses.- 1.4.2. Systems with Limited Waiting Facilities.- 1.4.3. Distribution of the Waiting Time until the Commencement of Service.- 1.4.4. Team Servicing of Machines.- 1.4.5. A Numerical Example.- 1.4.6. Duplicated Systems with Renewal (Passive Redundancy).- 1.4.7. Duplicated Systems with Renewal (Active Redundancy).- 1.4.8. Duplicated Systems with Renewal (Partially Active Redundancy).- 1.5. Priority Service.- 1.5.1. Statement of the Problem.- 1.5.2. Problems with Losses.- 1.5.3. Equations for pij(t).- 1.5.4. A Particular Case.- 1.5.5. The Possibility of Failure of the Servers.- 1.6. General Principles of Constructing Markov Models of Systems.- 1.6.1. Homogeneous Markov Processes.- 1.6.2. Characteristics of Functionals.- 1.6.3. A General Scheme for Constructing Markov Models of Service Systems.- 1.6.4. The HyperErlang Approximation.- 1.7. Systems with Limited Waiting Time.- 1.7.1. Statement of the Problem.- 1.7.2. The Stochastic Process Describing the State of a System for = const.- 1.7.3. System of Integro-differential Equations for the Problem.- 1.7.4. Various Characteristics of Service.- 1.7.5. Distribution of the Queue Length.- 1.7.6. Waiting Time Bounded by a Random Variable.- 1.8. Systems with Bounded Holding Times.- 1.8.1. Statement of the Problem and Assumptions.- 1.8.2. A Stochastic Process Describing the Service.- 1.8.3. Stationary Distributions.- 1.8.4. Holding Time in a System Bounded by a Random Variable.- 2. The Study of the Incoming Customer Stream.- 2.1. Some Examples.- 2.1.1. The Notion of the Incoming Stream.- 2.1.2. Feed of Components from a Hopper.- 2.1.3. A Regular Stream of Customers.- 2.1.4. Streams of Customers Served by Successively Positioned Servers.- 2.1.5. A Wider Approach to the Notion of the Incoming Stream.- 2.1.6. Marked Streams.- 2.2. A Simple Nonstationary Stream.- 2.2.1. Definition of a Simple Nonstationary Stream.- 2.2.2. Equations for the Probabilities pk(t0, t).- 2.2.3. Solution of the System (7).- 2.2.4. Instantaneous Intensity of a Stream.- 2.2.5. Examples.- 2.2.6. The General Form of Poisson Streams without Aftereffects.- 2.2.7. A System with Infinitely Many Servers.- 2.3. A Property of Stationary Streams.- 2.3.1. Existence of the Parameter.- 2.3.2. A Lemma.- 2.3.3. Proof of Khinchin¿s Theorem.- 2.3.4. An Example of a Stationary Stream with Aftereffects.- 2.4. General Form of Stationary Streams without Aftereffects.- 2.4.1. Statement of the Problem.- 2.4.2. The Existence of the Limits $$mathop {lim }limits_{t o 0} frac{{{pi _k}(t)}}{t}$$.- 2.4.3. Equations for the General Stationary Stream without Aftereffects.- 2.4.4. Solution of Systems (3) and (4).- 2.4.5. A Spec. Bestandsnummer des Verkäufers 9780817634230
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Anbieter: AHA-BUCH GmbH, Einbeck, Deutschland
Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - to the Second Edition.- to the First Edition.- 1. Problems of Queueing Theory under the Simplest Assumptions.- 1.1. Simple Streams.- 1.1.1. Historical Remarks.- 1.1.2. The Notion of a Stream of Homogeneous Events.- 1.1.3. Qualitative Assumptions and Their Analysis.- 1.1.4. Derivation of Equations for Simple Streams.- 1.1.5. Solution of the Equations.- 1.1.6. Derivation of the Additional Assumption from the Other Three Assumptions.- 1.1.7. Distribution of Times of Events of a Stream.- 1.1.8. The Intensity and Parameter of a Stream.- 1.2. Service with Waiting.- 1.2.1. Statement of the Problem.- 1.2.2. The Servicing Process as a Markov Process.- 1.2.3. Construction of Equations.- 1.2.4. Determination of the Stationary Solution.- 1.2.5. Some Preliminary Results.- 1.2.6. The Distribution Function of the Waiting Time.- 1.2.7. The Mean Waiting Time.- 1.2.8. Example.- 1.3. Birth and Death Processes.- 1.3.1. Definition.- 1.3.2. Differential Equations for the Process.- 1.3.3. Proof of Feller¿s Theorem.- 1.3.4. Passive Redundancy without Renewal.- 1.3.5. Active Redundancy without Renewal.- 1.3.6. Existence of Solutions for Birth and Death Equations.- 1.3.7. Backward Equations.- 1.4. Applications of Birth and Death Processes in Queueing Theory.- 1.4.1. Systems with Losses.- 1.4.2. Systems with Limited Waiting Facilities.- 1.4.3. Distribution of the Waiting Time until the Commencement of Service.- 1.4.4. Team Servicing of Machines.- 1.4.5. A Numerical Example.- 1.4.6. Duplicated Systems with Renewal (Passive Redundancy).- 1.4.7. Duplicated Systems with Renewal (Active Redundancy).- 1.4.8. Duplicated Systems with Renewal (Partially Active Redundancy).- 1.5. Priority Service.- 1.5.1. Statement of the Problem.- 1.5.2. Problems with Losses.- 1.5.3. Equations for pij(t).- 1.5.4. A Particular Case.- 1.5.5. The Possibility of Failure of the Servers.- 1.6. General Principles of Constructing Markov Models of Systems.- 1.6.1. Homogeneous Markov Processes.- 1.6.2. Characteristics of Functionals.- 1.6.3. A General Scheme for Constructing Markov Models of Service Systems.- 1.6.4. The HyperErlang Approximation.- 1.7. Systems with Limited Waiting Time.- 1.7.1. Statement of the Problem.- 1.7.2. The Stochastic Process Describing the State of a System for = const.- 1.7.3. System of Integro-differential Equations for the Problem.- 1.7.4. Various Characteristics of Service.- 1.7.5. Distribution of the Queue Length.- 1.7.6. Waiting Time Bounded by a Random Variable.- 1.8. Systems with Bounded Holding Times.- 1.8.1. Statement of the Problem and Assumptions.- 1.8.2. A Stochastic Process Describing the Service.- 1.8.3. Stationary Distributions.- 1.8.4. Holding Time in a System Bounded by a Random Variable.- 2. The Study of the Incoming Customer Stream.- 2.1. Some Examples.- 2.1.1. The Notion of the Incoming Stream.- 2.1.2. Feed of Components from a Hopper.- 2.1.3. A Regular Stream of Customers.- 2.1.4. Streams of Customers Served by Successively Positioned Servers.- 2.1.5. A Wider Approach to the Notion of the Incoming Stream.- 2.1.6. Marked Streams.- 2.2. A Simple Nonstationary Stream.- 2.2.1. Definition of a Simple Nonstationary Stream.- 2.2.2. Equations for the Probabilities pk(t0, t).- 2.2.3. Solution of the System (7).- 2.2.4. Instantaneous Intensity of a Stream.- 2.2.5. Examples.- 2.2.6. The General Form of Poisson Streams without Aftereffects.- 2.2.7. A System with Infinitely Many Servers.- 2.3. A Property of Stationary Streams.- 2.3.1. Existence of the Parameter.- 2.3.2. A Lemma.- 2.3.3. Proof of Khinchin¿s Theorem.- 2.3.4. An Example of a Stationary Stream with Aftereffects.- 2.4. General Form of Stationary Streams without Aftereffects.- 2.4.1. Statement of the Problem.- 2.4.2. The Existence of the Limits $$mathop {lim }limits_{t o 0} frac{{{pi _k}(t)}}{t}$$.- 2.4.3. Equations for the General Stationary Stream without Aftereffects.- 2.4.4. Solution of Systems (3) and (4).- 2.4.5. A Special Case.- 2.4.6. Bestandsnummer des Verkäufers 9780817634230
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Paperback or Softback. Zustand: New. Introduction to Queuing Theory 1.03. Book. Bestandsnummer des Verkäufers BBS-9780817634230
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