Variance Of Time To Recruitment In A Single Grade Marketing Organization With Non-Instantaneous Exits And Dependent Wastage Having Two Thresholds

Document Type : Primary Research paper

Authors

1 Assistant Professor in Mathematics, SRM TRP Engineering College(SRM GROUP), Irungalur, Trichy-621 105, Tamil Nadu, India.

2 Former Associate Professor PG and Research Department of Mathematics Bishop Heber College Trichy-620 017 Tamil Nadu, India.

Abstract

Attrition occur whenever a marketing organization(manpower system) takes policy decisions such as revision of targets and pay structure. It is not wise to make recruitment frequently due to cost factor. Since decision and its consequences are not predictable, an appropriate policy for recruitment becomes necessary. In this paper, for a single grade manpower system with non-instantaneous exits due to policy decisions, variance of time to recruitment is obtained using a suitable policy for recruitment when (i) the system has an additional control limit for alertness and a breakdown threshold for cumulative wastage (ii) wastage due to exits form a sequence of exchangeable and constantly correlated exponential random variables or an order statistics is associated with the wastage process or wastage process is a geometric process (iii) the inter-policy decision times form a sequence of exchangeable and constantly correlated exponential random variables and (iv) the inter-exit times are independent and identically distributed random variables. The analytical results are numerically illustrated and relevant findings are presented.

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