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Full-Text Articles in Operations Research, Systems Engineering and Industrial Engineering
Queuing-Inventory Models With Map Demands And Random Replenishment Opportunities, Srinivas R. Chakravarthy, B. Madhu Rao
Queuing-Inventory Models With Map Demands And Random Replenishment Opportunities, Srinivas R. Chakravarthy, B. Madhu Rao
Industrial & Manufacturing Engineering Publications
Combining the study of queuing with inventory is very common and such systems are referred to as queuing-inventory systems in the literature. These systems occur naturally in practice and have been studied extensively in the literature. The inventory systems considered in the literature generally include (s, S)-type. However, in this paper we look at opportunistic-type inventory replenishment in which there is an independent point process that is used to model events that are called opportunistic for replenishing inventory. When an opportunity (to replenish) occurs, a probabilistic rule that depends on the inventory level is used to determine whether to avail …
Queueing Models With Map Arrivals Useful In Service Sectors, Srinivas R. Chakravarthy
Queueing Models With Map Arrivals Useful In Service Sectors, Srinivas R. Chakravarthy
Industrial & Manufacturing Engineering Publications
Queueing models have found applications in many fields, notably in service sectors. In this paper, we study queueing models that have significant applications in service sectors. We look at multi-server systems with MAP arrivals. We assume phase type services for single server systems and exponential services when dealing with multi-server systems. All arriving customers finding no idle server will not wait in the system to receive services but rather leave their information in a registry list. These customers will be reached out on a first-come-first-served basis (FCFS) by an idle server soon after completing its current service. The reach out …
Preemptive Resume Priority Call Center Model With Two Classes Of Map Arrivals, Srinivas R. Chakravarthy, M. Senthil Kumar, R. Arumuganathan
Preemptive Resume Priority Call Center Model With Two Classes Of Map Arrivals, Srinivas R. Chakravarthy, M. Senthil Kumar, R. Arumuganathan
Industrial & Manufacturing Engineering Publications
Generally in call centers, voice calls (say Type 1 calls) are given higher priority over e-mails (say Type 2 calls). An arriving Type 1 call has a preemptive priority over a Type 2 call in service, if any, and the preempted Type 2 call enters into a retrial buffer (of finite capacity). Any arriving call not able to get into service immediately will enter into the pool of repeated calls provided the buffer is not full; otherwise, the call is considered lost. The calls in the retrial pool are treated alike (like Type 1) and compete for service after a …
Analysis Of A Multi-Server Queueing Model With Vacations And Optional Secondary Services, Srinivas R. Chakravarthy
Analysis Of A Multi-Server Queueing Model With Vacations And Optional Secondary Services, Srinivas R. Chakravarthy
Industrial & Manufacturing Engineering Publications
In this paper we study a multi-server queueing model in which the customer arrive according to a Markovian arrival process. The customers may require, with a certain probability, an optional secondary service upon completion of a primary service. The secondary services are offered (in batches of varying size) when any of the following conditions holds good: (a) upon completion of a service a free server finds no primary customer waiting in the queue and there is at least one secondary customer (including possibly the primary customer becoming a secondary customer) waiting for service; (b) upon completion of a primary service, …