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To the memory of my parents, Sara and Avraham Haviv To my mother and late father, Fela and Shimon Hassin Contents Preface xi 1. INTRODUCTION 1 1.1 Basic concepts 2 1.1.1 Strategies, payoffs, and equilibrium 2 1.1.2 Steady-state 4 1.1.3 Subgame perfect equilibrium 5 1.1.4 Evolutionarily stable strategies 5 1.1.5 The Braess paradox 5 1.1.6 Avoid the crowd or(More)
We consider an infinite-horizon deterministic joint replenishment problem with first order interaction. Under this model, the setup transportation/reorder cost associated with a group of retailers placing an order at the same time equals some group-independent major setup cost plus retailer-dependent minor setup costs. In addition, each retailer is(More)
In this paper we study situations in which two firms offer identical service for possibly different prices and response times. Customers’ choice between firms is based on their full price, which includes the service fee plus (expected) waiting costs. We consider a two level game. The first game is a non-cooperative game among customers who observe the(More)
We consider a number of servers that may improve the efficiency of the system by pooling their service capacities to serve the union of the individual streams of customers. This economies-of-scope phenomenon is due to the reduction in the steady-state mean total number of customers in the system. The question we pose is how the servers should split among(More)
This paper determines the mean waiting times for a single server multi-class queueing model with Poisson arrivals and relative priorities. If the server becomes idle, the probability that the next job is from class-i is proportional to the product between the number of class-i jobs present and their priority parameter. © 2006 Elsevier B.V. All rights(More)
In this paper we study the inversion of an analytic matrix valued function A(z). This problem can also be viewed as an analytic perturbation of the matrix A 0 = A(0). We are mainly interested in the case where A 0 is singular but A(z) has an inverse in some punctured disc around z = 0. It is known that A ?1 (z) can be expanded as a Laurent series at the(More)
In this survey we present a uni ed treatment of both singular and regular perturbations in nite Markov chains and decision processes. The treatment is based on the analysis of series expansions of various important entities such as the perturbed stationary distribution matrix, the deviation matrix, the mean-passage times matrix and others. 4.1 BACKGROUND(More)