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A fast and memory efficient recursive method is proposed to calculate the steady state probabilities of M-out-of-N:G reliability model with vacation for repairman. It is assumed that the repair time is exponential, failure time has general distribution and vacation times are independently and identically distributed random variables with general distribution. Using the embedded Markov chain techniques...
A pair of second order Wolfe’s type and Mond-Weir type symmetric dual is formulated. Various duality results are established for these multiobjective non linear programming problems involving second order (F, ρ) convexity and second order (F, ρ) pseudoconvexity.
Optimal cropping pattern plays an important role in improving the agricultural economy. This paper explores the potential of applying the Genetic-Algorithms to the non-linear formulation of the optimal cropping pattern problem. A practical problem using the agricultural data of the Batadrava development block of Nagaon district of Assam, India, is solved to demonstrate the application of Genetic-Algorithms...
Erlang B-formula (or Erlang loss function / formula), first established by Erlang in 1917, has been of continued interest even to this day, mainly because of its immense practical importance in telecommunication theory. Its usefulness is also found in more recent and complicated technologies like ATM. New light on different aspects of the formula is being thrown and new techniques of computations...
A pair of nondifferentiable mixed symmetric dual programming problems is introduced and duality theorems are proved. This unifies two existing formulations of symmetric dual problems appeared in the literature.
Control of manpower flows is an essential features of manpower Planning. To have a stable and efficient graded structure it is needed to study the constituent process of manpower system namely, recruitment process, promotion process and leaving process. In this paper we develop and analyse a two graded manpower planning model with open ended system. Using the differential equations the transient behaviour...
In this paper, an EOQ model is developed in which items in inventory deteriorate at a constant rate and supplier offers the progressive trade credit to the retailer. A progressive trade credit is defined as follows: If the retailer pays the outstanding amount by M, the supplier does not charge any interest. If the retailer pays after M but before N (N >M), the retailer will have to pay interest...
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