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Journal : MATEMATIKA

PROGRAM FRAKSIONAL LINIER DENGAN KOEFISIEN INTERVAL Sari, Annisa Ratna; ., Sunarsih; ., Suryoto
MATEMATIKA Vol 17, No 3 (2014): Jurnal Matematika
Publisher : MATEMATIKA

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Abstract

Linear fractional programming is a special case of nonlinear programming which the objective function is a ratio of two linear function with linear constraints. Linear fractional programming is used to optimize the efficiency of the activities  of the other activities. In some case, coefficients of the objective function is uncertain. Therefore, It can be selected the interval numbers as coefficients. First step in solving linear fractional programming with interval coefficients in the objective function is transforming it into linear programming using the Charnes - Cooper method. The result of the transformation is linear programming with interval coefficients (LPIC). To solve the LPIC is used method proposed by K Ramadan. In this method, LPIC converted into two linear programming that obtains the best optimum solution and the worst optimum solution, respectively. This optimum solution is the optimum solution for linear fractional programming problem with interval coefficients in the objective function.
KESTABILAN MODEL SUSCEPTIBLE VACCINATED INFECTED RECOVERED (SVIR) PADA PENYEBARAN PENYAKIT CAMPAK (MEASLES) (Studi Kasus di Kota Semarang) Haryati, Melita; ., Kartono; ., Sunarsih
MATEMATIKA Vol 17, No 1 (2014): Jurnal Matematika
Publisher : MATEMATIKA

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Abstract

Measles is the disease that caused by paramixovirus that infected to the humans by direct contact with infected person. Measles in Semarang was still as endemic disease. The aim of this study is analyze the SVIR (Susceptible Vaccinated Invected Recovered) model of the spread of Measles. This model is a system of nonlinear differential equation which solved by numerical solution with Euler’s method. The study use the data from Semarang Health Department, from the SVIR model generated , disease free equlibrium . If the vaccination rate is increasing, so susceptible people will be decreased and increasing the recovered people. Based on the result of analysis SVIR model in the strategy to control the spread of Measles can be done by developing the program of Measles’ vaccination.
PROGRAM LINIER FUZZY PENUH DENGAN ALGORITMA MULTI OBJECTIVE LINEAR PROGRAMMING S, Mohammad Ervan; Irawanto, Bambang; ., Sunarsih
MATEMATIKA Vol 18, No 1 (2015): Jurnal Matematika
Publisher : MATEMATIKA

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Abstract

In the linear programming there is one of the certainty assumptions, where each parameters has been known with certainty, but in this real life, the parameters is often can not be stated with certainty, so that the linear programming developed into fully fuzzy linear programming (FFLP). This paper discusses the problem solving FFLP problem with Multi Objective Linear Programming Algorithm. FFLP problem will be converted to MOLP problem with three objective functions by using a new lexicographic ordering on triangular fuzzy numbers and then it is solved by lexicographic method. The value of the fuzzy optimal solution obtained is used to find the optimal value of fuzzy objective function and then do defuzzification to obtain crisp optimal solutions
MODEL ECONOMIC ORDER QUANTITY (EOQ) DENGAN MEMPERTIMBANGKAN SEBAGIAN PENUNDAAN WAKTU PEMBAYARAN PADA SISTEM PARSIAL BACKORDER Maslahah, Heny; ., Sunarsih; ., Farikhin
MATEMATIKA Vol 19, No 2 (2016): Jurnal Matematika
Publisher : MATEMATIKA

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Abstract

The problem of inventories commonly facing the company is determining the optimal order quantities so the demand must be fulfilled. In transaction betwen seller and buyer specified delay of payment is offered by the seller, so given one of alternative the inventory model an Economic Order Quantity (EOQ) with consider partial delayed payment on the partial backordering system. In the inventory model, retailer allowed to make partial payment at the beginning of the period to supplier and the remaining amount can be paid at the end of the period has been determined. There are two condition of stockout are stockout on the condition of lost sales  and stockout on the condition of backorder . Based on the inventory model can determined when the period to make order and how many should be order, so the total cost of inventory issued to be minimum and total profit can be maximum.Â