Equipment Requirements

1
Equipment Requirements
Pij desired production rate for product i on
machine j (pieces/production period) Tij
production time for product i on machine j
(hours/piece) Hij number of hours in the
production period available for the production of
product i on machine j Mj number of machines of
type j required per production period n number
of products
2
Employee Requirements
Pij desired production rate for product i and
assembly operation j (pieces/day) Tij standard
time to perform operation j on product i,
(minutes/piece) Hij number of hours available
per day for assembly operation j on product i Aj
number of operators required for assembly
operation j n number of products
3
Machine Operator assignment
Identical machines are being supervised
a concurrent activity time (e.g. loading,
unloading) b independent operator activity time
(e.g. walking, inspecting, packaging) t
independent machine activity time (e.g. automatic
run time) n of machines to assign an
operator for neither machine nor operator idle
time m of machines assigned to an operator
Ideal assignment n (a t)/(a b)
Tc repeating cycle time
a t, m ? n m(a b), m ?n
Tc
4
Machine Operator assignment (cont)
Io idle operator time during a repeating
cycle Im idle time per machine during a
repeating cycle TC(m) cost/unit produced, based
on an assignment of m machines/operator C1 cost
per operator-hour C2 cost per machine-hour
(a t) m(a b), m ? n 0,
m ?n
0, m ? n m(a b)
(a t), m ?n
Io
Im
(C1 mC2)(a t)/m, m ? n (C1 mC2)(a b),
m ?n
TC(m)
TC(m) (C1 mC2)Tc/m
? TC(n)/TC(n1) (C1 nC2)(a t)/C1
(n1)C2n(ab)
? C1/C2
? (? n)n/(? n 1)n
5
Multiple Activity Chart

• Graphical method of depicting
• Independent operator activity time
• Independent machine activity time
• Concurrent activity time

• Helps in assigning operator to different machines
• reduce operator idle time
• reduce machine idle time
• scheduling concurrent activity time