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This paper studies the machine repair
problem consisting of M operating machines with S spare
machines, and R servers (repairmen) who leave for a vacation of
random length when there are no failed machines queuing up for
repair in the repair facility. At the end of the vacation the
servers return to the repair facility and operate one of three
vacation policies: single vacation, multiple vacation, and hybrid
single/multiple vacation. The Markov process and the
matrix-geometric approach are used...
The unrevealed failures of a system are detected only by inspection. In this work, an inspection policy along with a maintenance procedure for multiunit systems with dependent times to failure is presented. The existence of an optimum policy is also discussed.
This paper addresses the problem of managing a waiting list for elective surgery to decide the number of patients selected from the waiting list and to schedule them in accordance with the operating room capacity in the next period. The waiting list prioritizes patients not only by their initial urgency level but also by their waiting time. Selecting elective surgery patients requires a balance between the waiting time for urgent patients and that for less urgent patients. The problem is formulated...
The Progressive Second Price mechanism (PSP), recently introduced by
Lazar and Semret to share an
infinitely-divisible resource among users through pricing, has been shown to verify
very interesting properties.
Indeed, the incentive compatibility
property of that scheme, and the convergence to
an efficient resource allocation where established, using the framework
of Game Theory.
Therefore, that auction-based allocation and pricing scheme seems
particularly well-suited to solve congestion problems...
The paper concerns Markov decision processes (MDPs) with both the state and the decision spaces being finite and with the total reward as the objective function. For such a kind of MDPs, the authors assume that the reward function is of a fuzzy type. Specifically, this fuzzy reward function is of a suitable trapezoidal shape which is a function of a standard non-fuzzy reward. The fuzzy control problem consists of determining a control policy that maximizes the fuzzy expected total reward, where...
This paper is related to Markov Decision Processes. The optimal control problem is to minimize the expected total discounted cost, with a non-constant discount factor. The discount factor is time-varying and it could depend on the state and the action. Furthermore, it is considered that the horizon of the optimization problem is given by a discrete random variable, that is, a random horizon is assumed. Under general conditions on Markov control model, using the dynamic programming approach, an optimality...
While making informed decisions regarding investments in customer retention and acquisition becomes a pressing managerial issue, formal models and analysis, which may provide insight into this topic, are still scarce. In this study we examine two dynamic models for optimal acquisition and retention models of a monopoly, the total cost and the cost per customer models. These models are analytically analyzed using classical, direct, methods and asymptotic expansions (for the total cost model). In...
While making informed decisions regarding
investments in customer retention and acquisition becomes a
pressing managerial issue, formal models and analysis, which may
provide insight into this topic, are still scarce. In this study
we examine two dynamic models for optimal acquisition and
retention models of a monopoly, the total cost and the cost per
customer models.
These models are analytically analyzed using classical, direct,
methods and asymptotic expansions (for the total cost model).
In...
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