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Business, 20.12.2019 03:31 jacksoneaton

Consider two jobs, job 1 and job 2, to be processed on a single machine. it takes 7 days to process job 1, whereas the processing time of job 2 is 4 days. if the production is switched from ob 1 to job 2, then the set-up takes 2 days. on the other hand, if the production is switched from ob 2 to job 1, the set-up time reduces to 1 day. the processing of the jobs cannot start before the beginning of day 3 and both jobs are due at the beginning of day 20. let x1 and x2 be two integer variables representing the start date in days for job 1 and job2 4- two jobs will not be processed concurrently: if job 1 precedes job 2, then the start date of job 2 must be greater than or equal to start date of ob 1 plus the processing of job 1 and the set-up time if job 2 precedes job 1, then the start date of job 1 must be greater than or equal to start date of job 2 plus the processing of job 2 and the set-up time use indicator variable(s) representing the order of processing and mathematically formulate the constraint(s) that are verbally written above using indicator variable(s) and big m(s). calculate the minimum value of m that would work. (hint: what are the ranges for x1 and x2? )

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